Question

What will happen to the period of a ball-on-a-spring if the ball is replaced by a smaller one with half the mass

Answer 1

When the ball on a spring is replaced by a smaller ball with half the mass :  The period decrease by 29%

Calculate the Period

We will apply the formula below to calculate period

T = $2\pi \sqrt{\frac{m}{k } }$

 where :

T₁ / T₂ = $\sqrt{\frac{m_{1} }{m_{2} } }$    where m₂ = m₁ / 2

Therefore :

T₂ = $\frac{T_{1} }{\sqrt{2} }$   = 0.71 T

Hence we can conclude that the period will decrease by 29% ( i.e 100 - 71 ).

Learn more about Period calculation : brainly.com/question/10728818